# How do you convert 13,220 to scientific notation?

Jul 21, 2017

$1.3220 \times {10}^{4}$

Scientific notation is just a way to express big or small numbers in a nicer-looking way. We write something like

$602214130000000000000000$

as

$6.0221413 \times {10}^{23}$

or

$0.00000000000012$

as

$1.2 \times {10}^{- 13}$

by tacking on a " xx 10^(??)" to avoid writing out a bunch of zeros. All you have to do is write your number to be between $1$ and $9.99$ or so, and then use 10^(??) to get it back to how it was originally.

$13220 = \textcolor{b l u e}{1.3220 \times {10}^{4}}$

Because

$1.3220 \times {10}^{4} = 1.3220 \times 10000$

$= 13.220 \times 1000$

$= 132.20 \times 100$

$= 1322.0 \times 10$

$= 13220$